The in-medium properties of \(\eta \) mesons are studied in hot and dense isospin asymmetric strange magnetized matter using the chiral SU(3) hadronic mean-field model. The scalar and vector density of baryons are expressed in terms of thermal distribution functions at finite temperature and magnetic field and have a dependence on the scalar fields \(\sigma \), \(\zeta \), and \(\delta \) through the effective mass of baryons and the dependence on the vector fields \(\omega , \rho \), and \(\phi \) through the effective chemical potential. The properties of \(\eta \) mesons get modified in a hot and dense magnetized environment through the medium-modified nucleons and hyperons. The negative mass shift obtained gives rise to optical potential, which is attractive in the medium and suggests a possibility of \(\eta \)-mesic bound states formation. The addition of hyperons in the medium enhances the attractive interactions and causes an increased negative mass shift for \(\eta \) mesons.

使用手性SU(3)强子平均场模型研究了热致密同位旋不对称奇异磁化物质中\(\eta \)介子的介质内性质。重子的标量和矢量密度用有限温度和磁场下的热分布函数表示，并且依赖于标量场\(\sigma \)、\(\zeta \)和\(\delta \)通过重子的有效质量以及对矢量场\(\omega , \rho \)和\(\phi \)通过有效化学势的依赖性。介子的性质在热而致密的磁化环境中通过介质修饰的核子和超子而被修饰。获得的负质量位移会产生光学势，这在介质中很有吸引力，并表明有可能形成\(\eta\) -mesic束缚态。在介质中添加超子增强了吸引相互作用，并导致\(\eta \)介子的负质量位移增加。